If two angles are complementary, what is the maximum measure of one angle if the

Practice Questions

Q1
If two angles are complementary, what is the maximum measure of one angle if the other is 30 degrees?
  1. 60 degrees
  2. 90 degrees
  3. 150 degrees
  4. 30 degrees

Questions & Step-by-Step Solutions

If two angles are complementary, what is the maximum measure of one angle if the other is 30 degrees?
  • Step 1: Understand that complementary angles are two angles that add up to 90 degrees.
  • Step 2: Identify the measure of one angle, which is given as 30 degrees.
  • Step 3: Use the formula for complementary angles: Angle 1 + Angle 2 = 90 degrees.
  • Step 4: Substitute the known angle into the formula: 30 degrees + Angle 2 = 90 degrees.
  • Step 5: Solve for Angle 2 by subtracting 30 degrees from 90 degrees: Angle 2 = 90 - 30.
  • Step 6: Calculate the result: Angle 2 = 60 degrees.
  • Step 7: Conclude that the maximum measure of the other angle is 60 degrees.
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